Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 5x + y + z = 5

Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0, 6, 0, 6, 4 and 0, 4 is revolved about the a x-axis b y-axis

Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6, 0 and 6, 4 is rotated about the a x-axis b y-axis

For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.